Which line has slope (4) and (y)-intercept (1)?
Answer and explanation
Correct answer: \(y=4x+1\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. In \(y=4x+1\), the coefficient of \(x\) is 4 and the constant term is 1, so it is the correct line. Although \(y=4x-1\) has slope 4, its \(y\)-intercept is \(-1\). Exam tip: In \(y=mx+c\), read the coefficient of \(x\) for slope and the constant term for the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
\(y=4x+1\)
Why is this the correct answer?
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. In \(y=4x+1\), the coefficient of \(x\) is 4 and the constant term is 1, so it is the correct line. Although \(y=4x-1\) has slope 4, its \(y\)-intercept is \(-1\). Exam tip: In \(y=mx+c\), read the coefficient of \(x\) for slope and the constant term for the \(y\)-intercept.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.
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